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A restoration technique of noisy images by using a two-dimensional (2-D) linear model is presented. A method of identifying the parameters in the 2-D autoregressive moving average (ARMA) model that is derived from the approximate 2-D recursive filtering algorithm in  is developed. The estimates for the performance of image restoration are given in terms of the stationary filter gain and the variance of prediction errors. Simulation studies are also carried out to show the applicability of the present technique.